Question

State whether the following statement is true or false:
Pascal's law states that an increase in pressure at any point inside a liquid at rest is transmitted equally and without any change, in all directions to every other point in the liquid.
A. True
B. False

Answer 1

Hint: Pascal’s law explains the property of fluid pressure. All molecules of liquid are in equilibrium and apply equal force on each other. When an external force is exerted on the liquid, the equilibrium gets disturbed. According to the law the pressure acts at the surface of contact of the fluid. It can be stated in two ways.

Complete solution Step-by-Step:
Law is stated as follows: The pressure applied to any part of the enclosed liquid will be transmitted equally in all the directions through the liquid. Alternate definition states that a change in pressure at any point in an enclosed fluid at rest is transmitted undiminished to all the parts of the container. According to the law the pressure acts at \[{{90}^{\circ }}\]to the surface of contact of the fluid. Also, Pascal found that the pressure on the fluid would be the same across all the planes.

Pascal's law is given by the formula: \[F=PA\], where force F is applied, P is pressure transmitted and A is the area of cross-section of the fluid in contact.

Thus, Pascal's law states that an increase in pressure at any point inside a liquid at rest is transmitted equally and without any change, in all directions to every other point in the liquid. Hence the answer is A - True.

Additional Information: The law was established in the year 1647-48. By Blaise Pascal, a French Mathematician. This principle is used in hydraulic machines. It is also used for amplification of braking systems in motor vehicles. This is also the reason behind why scuba divers get major problems when they come to the surface of waters in a rush.

Note: For Pascal's law to be applicable, the molecule must be well within the liquid. The law can be stated in two ways. According to the law the pressure acts at 90⁰ to the surface of contact of the fluid. Pascal's law is given by the formula: \[F=PA\].